public abstract class QuadCurve2D extends Objectimplements Shape , Cloneable
QuadCurve2D class defines a quadratic parametric curve segment in
(x,y) coordinate space.
This class is only the abstract superclass for all objects that store a 2D quadratic curve segment. The actual storage representation of the coordinates is left to the subclass.
| Modifier and Type | Class and Description |
|---|---|
static class |
QuadCurve2D
A quadratic parametric curve segment specified with
double coordinates.
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static class |
QuadCurve2D
A quadratic parametric curve segment specified with
float coordinates.
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| Modifier | Constructor and Description |
|---|---|
protected |
QuadCurve2D()
This is an abstract class that cannot be instantiated directly.
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| Modifier and Type | Method and Description |
|---|---|
Object |
clone()
Creates a new object of the same class and with the same contents as this object.
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boolean |
contains(double x, double y)
Tests if the specified coordinates are inside the boundary of the
Shape, as described by the
definition of insideness.
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boolean |
contains(double x, double y, double w, double h)
Tests if the interior of the
Shape entirely contains the specified rectangular area.
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boolean |
contains(Point2D
Tests if a specified
Point2D is inside the boundary of the
Shape, as described by the
definition of insideness.
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boolean |
contains(Rectangle2D
Tests if the interior of the
Shape entirely contains the specified
Rectangle2D.
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Rectangle |
getBounds()
Returns an integer
Rectangle that completely encloses the
Shape.
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abstract Point2D |
getCtrlPt()
Returns the control point.
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abstract double |
getCtrlX()
Returns the X coordinate of the control point in
double precision.
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abstract double |
getCtrlY()
Returns the Y coordinate of the control point in
double precision.
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double |
getFlatness()
Returns the flatness, or maximum distance of a control point from the line connecting the end points, of this
QuadCurve2D.
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static double |
getFlatness(double[] coords, int offset)
Returns the flatness, or maximum distance of a control point from the line connecting the end points, of the quadratic curve specified by the control points stored in the indicated array at the indicated index.
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static double |
getFlatness(double x1, double y1, double ctrlx, double ctrly, double x2, double y2)
Returns the flatness, or maximum distance of a control point from the line connecting the end points, of the quadratic curve specified by the indicated control points.
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double |
getFlatnessSq()
Returns the square of the flatness, or maximum distance of a control point from the line connecting the end points, of this
QuadCurve2D.
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static double |
getFlatnessSq(double[] coords, int offset)
Returns the square of the flatness, or maximum distance of a control point from the line connecting the end points, of the quadratic curve specified by the control points stored in the indicated array at the indicated index.
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static double |
getFlatnessSq(double x1, double y1, double ctrlx, double ctrly, double x2, double y2)
Returns the square of the flatness, or maximum distance of a control point from the line connecting the end points, of the quadratic curve specified by the indicated control points.
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abstract Point2D |
getP1()
Returns the start point.
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abstract Point2D |
getP2()
Returns the end point.
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PathIterator |
getPathIterator(AffineTransform
Returns an iteration object that defines the boundary of the shape of this
QuadCurve2D.
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PathIterator |
getPathIterator(AffineTransform
Returns an iteration object that defines the boundary of the flattened shape of this
QuadCurve2D.
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abstract double |
getX1()
Returns the X coordinate of the start point in
double in precision.
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abstract double |
getX2()
Returns the X coordinate of the end point in
double precision.
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abstract double |
getY1()
Returns the Y coordinate of the start point in
double precision.
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abstract double |
getY2()
Returns the Y coordinate of the end point in
double precision.
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boolean |
intersects(double x, double y, double w, double h)
Tests if the interior of the
Shape intersects the interior of a specified rectangular area.
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boolean |
intersects(Rectangle2D
Tests if the interior of the
Shape intersects the interior of a specified
Rectangle2D.
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void |
setCurve(double[] coords, int offset)
Sets the location of the end points and control points of this
QuadCurve2D to the
double coordinates at the specified offset in the specified array.
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abstract void |
setCurve(double x1, double y1, double ctrlx, double ctrly, double x2, double y2)
Sets the location of the end points and control point of this curve to the specified
double coordinates.
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void |
setCurve(Point2D
Sets the location of the end points and control points of this
QuadCurve2D to the coordinates of the
Point2D objects at the specified offset in the specified array.
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void |
setCurve(Point2D
Sets the location of the end points and control point of this
QuadCurve2D to the specified
Point2D coordinates.
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void |
setCurve(QuadCurve2D
Sets the location of the end points and control point of this
QuadCurve2D to the same as those in the specified
QuadCurve2D.
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static int |
solveQuadratic(double[] eqn)
Solves the quadratic whose coefficients are in the
eqn array and places the non-complex roots back into the same array, returning the number of roots.
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static int |
solveQuadratic(double[] eqn, double[] res)
Solves the quadratic whose coefficients are in the
eqn array and places the non-complex roots into the
res array, returning the number of roots.
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static void |
subdivide(double[] src, int srcoff, double[] left, int leftoff, double[] right, int rightoff)
Subdivides the quadratic curve specified by the coordinates stored in the
src array at indices
srcoff through
srcoff + 5 and stores the resulting two subdivided curves into the two result arrays at the corresponding indices.
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void |
subdivide(QuadCurve2D
Subdivides this
QuadCurve2D and stores the resulting two subdivided curves into the
left and
right curve parameters.
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static void |
subdivide(QuadCurve2D
Subdivides the quadratic curve specified by the
src parameter and stores the resulting two subdivided curves into the
left and
right curve parameters.
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equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, waitgetBounds2Dprotected QuadCurve2D()
QuadCurve2D.Float,
QuadCurve2D.Double
public abstract double getX1()
double in precision.
public abstract double getY1()
double precision.
public abstract Point2DgetP1()
Point2D that is the start point of this
QuadCurve2D.
public abstract double getCtrlX()
double precision.
public abstract double getCtrlY()
double precision.
public abstract Point2DgetCtrlPt()
Point2D that is the control point of this
Point2D.
public abstract double getX2()
double precision.
public abstract double getY2()
double precision.
public abstract Point2DgetP2()
Point object that is the end point of this
Point2D.
public abstract void setCurve(double x1,
double y1,
double ctrlx,
double ctrly,
double x2,
double y2)
double coordinates.
x1 - the X coordinate of the start point
y1 - the Y coordinate of the start point
ctrlx - the X coordinate of the control point
ctrly - the Y coordinate of the control point
x2 - the X coordinate of the end point
y2 - the Y coordinate of the end point
public void setCurve(double[] coords,
int offset)
QuadCurve2D to the
double coordinates at the specified offset in the specified array.
coords - the array containing coordinate values
offset - the index into the array from which to start getting the coordinate values and assigning them to this
QuadCurve2D
public void setCurve(Point2Dp1, Point2D cp, Point2D p2)
QuadCurve2D to the specified
Point2D coordinates.
p1 - the start point
cp - the control point
p2 - the end point
public void setCurve(Point2D[] pts, int offset)
QuadCurve2D to the coordinates of the
Point2D objects at the specified offset in the specified array.
pts - an array containing
Point2D that define coordinate values
offset - the index into
pts from which to start getting the coordinate values and assigning them to this
QuadCurve2D
public void setCurve(QuadCurve2Dc)
QuadCurve2D to the same as those in the specified
QuadCurve2D.
c - the specified
QuadCurve2D
public static double getFlatnessSq(double x1,
double y1,
double ctrlx,
double ctrly,
double x2,
double y2)
x1 - the X coordinate of the start point
y1 - the Y coordinate of the start point
ctrlx - the X coordinate of the control point
ctrly - the Y coordinate of the control point
x2 - the X coordinate of the end point
y2 - the Y coordinate of the end point
public static double getFlatness(double x1,
double y1,
double ctrlx,
double ctrly,
double x2,
double y2)
x1 - the X coordinate of the start point
y1 - the Y coordinate of the start point
ctrlx - the X coordinate of the control point
ctrly - the Y coordinate of the control point
x2 - the X coordinate of the end point
y2 - the Y coordinate of the end point
public static double getFlatnessSq(double[] coords,
int offset)
coords - an array containing coordinate values
offset - the index into
coords from which to to start getting the values from the array
public static double getFlatness(double[] coords,
int offset)
coords - an array containing coordinate values
offset - the index into
coords from which to start getting the coordinate values
public double getFlatnessSq()
QuadCurve2D.
QuadCurve2D.
public double getFlatness()
QuadCurve2D.
QuadCurve2D.
public void subdivide(QuadCurve2Dleft, QuadCurve2D right)
QuadCurve2D and stores the resulting two subdivided curves into the
left and
right curve parameters. Either or both of the
left and
right objects can be the same as this
QuadCurve2D or
null.
left - the
QuadCurve2D object for storing the left or first half of the subdivided curve
right - the
QuadCurve2D object for storing the right or second half of the subdivided curve
public static void subdivide(QuadCurve2Dsrc, QuadCurve2D left, QuadCurve2D right)
src parameter and stores the resulting two subdivided curves into the
left and
right curve parameters. Either or both of the
left and
right objects can be the same as the
src object or
null.
src - the quadratic curve to be subdivided
left - the
QuadCurve2D object for storing the left or first half of the subdivided curve
right - the
QuadCurve2D object for storing the right or second half of the subdivided curve
public static void subdivide(double[] src,
int srcoff,
double[] left,
int leftoff,
double[] right,
int rightoff)
src array at indices
srcoff through
srcoff + 5 and stores the resulting two subdivided curves into the two result arrays at the corresponding indices. Either or both of the
left and
right arrays can be
null or a reference to the same array and offset as the
src array. Note that the last point in the first subdivided curve is the same as the first point in the second subdivided curve. Thus, it is possible to pass the same array for
left and
right and to use offsets such that
rightoff equals
leftoff + 4 in order to avoid allocating extra storage for this common point.
src - the array holding the coordinates for the source curve
srcoff - the offset into the array of the beginning of the the 6 source coordinates
left - the array for storing the coordinates for the first half of the subdivided curve
leftoff - the offset into the array of the beginning of the the 6 left coordinates
right - the array for storing the coordinates for the second half of the subdivided curve
rightoff - the offset into the array of the beginning of the the 6 right coordinates
public static int solveQuadratic(double[] eqn)
eqn array and places the non-complex roots back into the same array, returning the number of roots. The quadratic solved is represented by the equation:
eqn = {C, B, A};
ax^2 + bx + c = 0
A return value of
-1 is used to distinguish a constant equation, which might be always 0 or never 0, from an equation that has no zeroes.
eqn - the array that contains the quadratic coefficients
-1 if the equation is a constant
public static int solveQuadratic(double[] eqn,
double[] res)
eqn array and places the non-complex roots into the
res array, returning the number of roots. The quadratic solved is represented by the equation:
eqn = {C, B, A};
ax^2 + bx + c = 0
A return value of
-1 is used to distinguish a constant equation, which might be always 0 or never 0, from an equation that has no zeroes.
eqn - the specified array of coefficients to use to solve the quadratic equation
res - the array that contains the non-complex roots resulting from the solution of the quadratic equation
-1 if the equation is a constant.
public boolean contains(double x,
double y)
Shape, as described by the
definition of insideness.
public boolean contains(Point2Dp)
Point2D is inside the boundary of the
Shape, as described by the
definition of insideness.
public boolean intersects(double x,
double y,
double w,
double h)
Shape intersects the interior of a specified rectangular area. The rectangular area is considered to intersect the
Shape if any point is contained in both the interior of the
Shape and the specified rectangular area.
The Shape.intersects() method allows a Shape implementation to conservatively return true when:
Shape intersect, but Shapes this method might return
true even though the rectangular area does not intersect the
Shape. The
Area class performs more accurate computations of geometric intersection than most
Shape objects and therefore can be used if a more precise answer is required.
intersects in interface
Shape
x - the X coordinate of the upper-left corner of the specified rectangular area
y - the Y coordinate of the upper-left corner of the specified rectangular area
w - the width of the specified rectangular area
h - the height of the specified rectangular area
true if the interior of the
Shape and the interior of the rectangular area intersect, or are both highly likely to intersect and intersection calculations would be too expensive to perform;
false otherwise.
Area
public boolean intersects(Rectangle2Dr)
Shape intersects the interior of a specified
Rectangle2D. The
Shape.intersects() method allows a
Shape implementation to conservatively return
true when:
Rectangle2D and the Shape intersect, but Shapes this method might return
true even though the
Rectangle2D does not intersect the
Shape. The
Area class performs more accurate computations of geometric intersection than most
Shape objects and therefore can be used if a more precise answer is required.
intersects in interface
Shape
r - the specified
Rectangle2D
true if the interior of the
Shape and the interior of the specified
Rectangle2D intersect, or are both highly likely to intersect and intersection calculations would be too expensive to perform;
false otherwise.
Shape.intersects(double, double, double, double)
public boolean contains(double x,
double y,
double w,
double h)
Shape entirely contains the specified rectangular area. All coordinates that lie inside the rectangular area must lie within the
Shape for the entire rectangular area to be considered contained within the
Shape.
The Shape.contains() method allows a Shape implementation to conservatively return false when:
intersect method returns true and Shape entirely contains the rectangular area are prohibitively expensive. Shapes this method might return
false even though the
Shape contains the rectangular area. The
Area class performs more accurate geometric computations than most
Shape objects and therefore can be used if a more precise answer is required.
contains in interface
Shape
x - the X coordinate of the upper-left corner of the specified rectangular area
y - the Y coordinate of the upper-left corner of the specified rectangular area
w - the width of the specified rectangular area
h - the height of the specified rectangular area
true if the interior of the
Shape entirely contains the specified rectangular area;
false otherwise or, if the
Shape contains the rectangular area and the
intersects method returns
true and the containment calculations would be too expensive to perform.
Area,
Shape.intersects(double, double, double, double)
public boolean contains(Rectangle2Dr)
Shape entirely contains the specified
Rectangle2D. The
Shape.contains() method allows a
Shape implementation to conservatively return
false when:
intersect method returns true and Shape entirely contains the Rectangle2D are prohibitively expensive. Shapes this method might return
false even though the
Shape contains the
Rectangle2D. The
Area class performs more accurate geometric computations than most
Shape objects and therefore can be used if a more precise answer is required.
contains in interface
Shape
r - The specified
Rectangle2D
true if the interior of the
Shape entirely contains the
Rectangle2D;
false otherwise or, if the
Shape contains the
Rectangle2D and the
intersects method returns
true and the containment calculations would be too expensive to perform.
Shape.contains(double, double, double, double)
public RectanglegetBounds()
Rectangle that completely encloses the
Shape. Note that there is no guarantee that the returned
Rectangle is the smallest bounding box that encloses the
Shape, only that the
Shape lies entirely within the indicated
Rectangle. The returned
Rectangle might also fail to completely enclose the
Shape if the
Shape overflows the limited range of the integer data type. The
getBounds2D method generally returns a tighter bounding box due to its greater flexibility in representation.
Note that the definition of insideness can lead to situations where points on the defining outline of the shape may not be considered contained in the returned bounds object, but only in cases where those points are also not considered contained in the original shape.
If a point is inside the shape according to the contains(point) method, then it must be inside the returned Rectangle bounds object according to the contains(point) method of the bounds. Specifically:
shape.contains(x,y) requires bounds.contains(x,y)
If a point is not inside the shape, then it might still be contained in the bounds object:
bounds.contains(x,y) does not imply shape.contains(x,y)
getBounds in interface
Shape
Rectangle that completely encloses the
Shape.
Shape.getBounds2D()
public PathIteratorgetPathIterator(AffineTransform at)
QuadCurve2D. The iterator for this class is not multi-threaded safe, which means that this
QuadCurve2D class does not guarantee that modifications to the geometry of this
QuadCurve2D object do not affect any iterations of that geometry that are already in process.
getPathIterator in interface
Shape
at - an optional
AffineTransform to apply to the shape boundary
PathIterator object that defines the boundary of the shape.
public PathIteratorgetPathIterator(AffineTransform at, double flatness)
QuadCurve2D. The iterator for this class is not multi-threaded safe, which means that this
QuadCurve2D class does not guarantee that modifications to the geometry of this
QuadCurve2D object do not affect any iterations of that geometry that are already in process.
getPathIterator in interface
Shape
at - an optional
AffineTransform to apply to the boundary of the shape
flatness - the maximum distance that the control points for a subdivided curve can be with respect to a line connecting the end points of this curve before this curve is replaced by a straight line connecting the end points.
PathIterator object that defines the flattened boundary of the shape.
public Objectclone()
clone in class
Object
OutOfMemoryError - if there is not enough memory.
Cloneable